1125227980800 has 2592 divisors, whose sum is σ = 5364959745600. Its totient is φ = 226271232000.

The previous prime is 1125227980783. The next prime is 1125227980861. The reversal of 1125227980800 is 80897225211.

1125227980800 is a `hidden beast` number, since 112 + 522 + 7 + 9 + 8 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1125227980800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 36297676785 + ... + 36297676815.

Almost surely, 2^{1125227980800} is an apocalyptic number.

1125227980800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125227980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682479872800).

1125227980800 is an abundant number, since it is smaller than the sum of its proper divisors (4239731764800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1125227980800 is a wasteful number, since it uses less digits than its factorization.

1125227980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1125227980800 in words is "one trillion, one hundred twenty-five billion, two hundred twenty-seven million, nine hundred eighty thousand, eight hundred".